Pith Number

pith:RAFM4B22

pith:2024:RAFM4B227Z6ULYDOGH2EDXCDRZ

not attested not anchored not stored refs pending

Graph Coarsening via Supervised Granular-Ball for Scalable Graph Neural Network Training

Cheng Liu, Guoyin Wang, Sen Zhao, Shuyin Xia, Xinjun Ma, Zhiyuan Liu

arxiv:2412.13842 v1 · 2024-12-18 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAFM4B227Z6ULYDOGH2EDXCDRZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T09:51:09.565279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

880ace075afe7d45e06e31f441dc438e74e8f2a50a344c862db983cc87f04497

Aliases

arxiv: 2412.13842 · arxiv_version: 2412.13842v1 · doi: 10.48550/arxiv.2412.13842 · pith_short_12: RAFM4B227Z6U · pith_short_16: RAFM4B227Z6ULYDO · pith_short_8: RAFM4B22

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RAFM4B227Z6ULYDOGH2EDXCDRZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 880ace075afe7d45e06e31f441dc438e74e8f2a50a344c862db983cc87f04497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526c60a6180da672f995f64c06bf5507f3e86c57271c626471992b68febccdb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-18T13:36:03Z",
    "title_canon_sha256": "f6147c953b5c1495118c367356b9d4b5603bc7145e1f1c472dbd919d803359c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13842",
    "kind": "arxiv",
    "version": 1
  }
}